Question - Parallel Lines and Inconsistent Systems of Equations
Solution:
It looks like the image shows a system of linear equations, and you might be asked to find the solution for this system. The equations in the image are:1) $$ y = -\frac{5}{4}x + 8 $$2) $$ y = -\frac{5}{4}x - 9 $$To solve these equations, we usually look for a point (x, y) that satisfies both equations. However, if you look closely at both equations, you'll notice that they both have the same slope, -5/4, which means they are parallel lines.Since parallel lines never intersect, they don't have a point in common. Therefore, this system of equations has no solution. In mathematical terms, this is known as an inconsistent system.
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